Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. CD, FA, IX, LU, ?
Option 1: TU
Option 2: RS
Option 3: OP
Option 4: OR
Correct Answer: OR
Solution : Given: CD, FA, IX, LU, ?
Add 3 to the positional value of the first letter and subtract 3 from the positional value of the second letter of the previous terms to get the first and second letters respectively of the next term. First letter
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. jtm_r_ jt_prs_tmpr_ j_mprs
Option 1: psmjst
Option 2: pssjst
Option 3: psmjts
Option 4: pmsjst
Correct Answer: psmjst
Solution : Given: jtm_r_ jt_prs_tmpr_ j_mprs
To fill the series we have to divide the series – jtm_r_ / jt_prs / _tmpr_ / j_mprs
Let's check each option – First option: psmjst; jtmprs / jtmprs / jtmprs / jt
Question : Which of the following expressions is equal to the expression $\frac{x^2-3 x+2}{x^2-4}$?
Option 1: $\frac{x+1}{x-2}$
Option 2: $\frac{x-1}{x+2}$
Option 3: $\frac{x+1}{x+2}$
Option 4: $\frac{x-1}{x-2}$
Correct Answer: $\frac{x-1}{x+2}$
Solution : $\frac{x^2-3 x+2}{x^2-4}$ = $\frac{(x-2)(x-1)}{(x-2)(x+2)}$ = $\frac{(x-1)}{(x+2)}$ Hence, the correct answer is $\frac{(x-1)}{(x+2)}$.
Question : Directions: If a mirror is placed on the line AB, then out of the option figures which figure will be the right image of the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the bottom side of the figure (on line AB). So, the top side of the reflected image will appear
Question : If I walk at $\frac{7}{6}$th of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office?
Option 1: 60
Option 2: 75
Option 3: 90
Option 4: 105
Correct Answer: 105
Solution : Let the usual time, speed, and distance be $t$ hours, $u$ km/hr, and $d$ km, respectively. $\frac{d}{u}=t$ Time taken by current speed – time taken by usual speed = $\frac{15}{60}$ $⇒\frac{d}{u}-\frac{d}{\frac{7u}{6}}=\frac{15}{60}$ $⇒t-\frac{6t}{7}=\frac{1}{4}$ $⇒\frac{t}{7} =\frac{1}{4}$ $⇒t=\frac{7}{4}$ hours $\therefore t=\frac{7}{4}\times 60= 105$ minutes Hence, the correct answer
Question : Gagan Narang , whose name has been recommended for ' Rajiv Gandhi Khel Ratna Award ' is a famous
Option 1: Motor Car Racer
Option 2: Cricketer
Option 3: Air Rifle Shooter
Option 4: Football
Correct Answer: Air Rifle Shooter
Solution : The correct option is - Air Rifle Shooter.
Indian sport shooter Gagan Narang took won the bronze medal in the men's 10 m air rifle competition at the London 2012 Summer Olympics. At the 2010 Commonwealth Games in New Delhi, Narang won 4
Question : Directions: In a certain code language, ISLAND is written as HTKBME, and TABLET is written as SBAMDU. How will BANGLE be written in that language?
Option 1: ABOHKF
Option 2: ABMHKD
Option 3: ABMHKF
Option 4: ABMHMF
Correct Answer: ABMHKF
Solution : Given: ISLAND is written as HTKBME –
Subtract and add 1 alternately to the place value of each letter of ISLAND to obtain the required code – I – 1 = H; S + 1 = T; L – 1 = K; A + 1
Question : If $\tan \theta \cdot \tan 2 \theta=1$, then the value of $\cot 5 \theta$ is:
Option 1: $-1$
Option 2: $1$
Option 3: $-\sqrt{3}$
Option 4: $\sqrt{3}$
Correct Answer: $-\sqrt{3}$
Solution : Given: $\tan \theta \cdot \tan 2 \theta=1$ $⇒\tan2\theta=\cot\theta$ $⇒\tan2\theta=\tan(90°- \theta)$ $⇒2\theta=90°- \theta$ $⇒3\theta=90°$ $\therefore \theta=30°$ $\cot 5\theta=\cot(5×30°)=\cot 150°=\cot(90°+60°)=-\tan60°=-\sqrt3$ Hence, the correct answer is $-\sqrt3$.
Question : Directions: In the following question, select the related number from the given alternatives. 11 : 1210 :: 10 : ?
Option 1: 910
Option 2: 980
Option 3: 1000
Option 4: 970
Correct Answer: 1000
Solution : Given: 11 : 1210 :: 10 : ?
112 = 121 and 121 × 10 = 1210 Similarly, 102 = 100 and 100 × 10 = 1000
Hence, the third option is correct.
Question : Select the most appropriate ANTONYM to replace the underlined word in the following sentence. Darwin drew our attention to the gradual accumulation of unfavourable traits and its direct relationship with the survival of those presumed lucky species, which then serve as breeding grounds for more desirable traits.
Option 1: advantageous
Option 2: fulfilling
Option 3: steady
Option 4: negative
Correct Answer: advantageous
Solution : The correct answer is the fourth option.
The reason advantageous is the correct antonym for unfavourable is that it directly contrasts the idea of something being unfavourable or disadvantageous. Advantageous means favourable, beneficial, or providing an advantage.
The meanings of the other words are as
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